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2 interesting facts:

#1  I knew (one died recently RIP) a couple of traditional Catholic people who were Air Force commanders.  They were in charge of the government satellite programs.  They said that it was more accurate to launch satellites off a Geocentric Scheme than a Heliocentric Idea.  Now...  That is actual application of science for you in the matter.

2#  In the Bible when Joshua was fighting.  It was starting to get dark and he commanded the sun to stand still. 


Josue, Chapter 10 - Verses 11-15

"[11] And when they were fleeing from the children of Israel, and were in the descent of Beth-horon, the Lord cast down upon them great stones from heaven as far as Azeca: and many more were killed with the hailstones than were slain by the swords of the children of Israel. [12] Then Josue spoke to the Lord, in the day that he delivered the Amorrhite in the sight of the children of Israel, and he said before them: Move not, O sun, toward Gabaon, nor thou, O moon, toward the valley of Ajalon. [13] And the sun and the moon stood still, till the people revenged themselves of their enemies. Is not this written in the book of the just? So the sun stood still in the midst of heaven, and hasted not to go down the space of one day. [14] There was not before nor after so long a day, the Lord obeying the voice of a man, and fighting for Israel. [15] And Josue returned with all Israel into the camp of Galgal."


Now...  If the Bible is inspired and Geocentrism is wrong...  Why would God have allowed it to declare that the "Sun stood still" rather than the "Earth Stood Still"?

‘I add that the words “the sun also riseth and the sun goeth down, and hasteneth
to the place where he ariseth, etc.” were those of Solomon, who not only spoke
by divine inspiration but was a man wise above all others and most learned in
human sciences and in the knowledge of all created things, and his wisdom was
from God. Thus it is not too likely that he would affirm something which was
contrary to a truth either already demonstrated, or likely to be demonstrated.’
Cardinal Bellarmine: Letter to Foscarini, 1615. [Quoted from The Earthmovers by James O'Hanlan]

It seems to me that the sun rising and setting could suggest the earth is a globe, or the sun couldn't rise and go down relative to someone on the surface. It would rather come near and then head off into the distance on a flat earth. It's size would probably change a lot as it approaches and leaves on a FE. The sun would certainly run a circuit from a geocentric perspective, and scripture mentions it running a circuit.